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4241827700 = 22521119311997
BaseRepresentation
bin1111110011010101…
…0010011101110100
3101221121202011200122
43330311102131310
532141401441300
61540525031112
7210054640415
oct37465223564
911847664618
104241827700
111887445a30
129a46b5498
13527a62426
142c350380c
1519c5e2c85
hexfcd52774

4241827700 has 72 divisors (see below), whose sum is σ = 10051794144. Its totient is φ = 1540912000.

The previous prime is 4241827697. The next prime is 4241827721. The reversal of 4241827700 is 77281424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2123102 + ... + 2125098.

It is an arithmetic number, because the mean of its divisors is an integer number (139608252).

Almost surely, 24241827700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241827700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025897072).

4241827700 is an abundant number, since it is smaller than the sum of its proper divisors (5809966444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4241827700 is a wasteful number, since it uses less digits than its factorization.

4241827700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 4241827700 is about 65129.3152121224. The cubic root of 4241827700 is about 1618.7669960401.

The spelling of 4241827700 in words is "four billion, two hundred forty-one million, eight hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1931 1997 3862 3994 7724 7988 9655 9985 19310 19970 21241 21967 38620 39940 42482 43934 48275 49925 84964 87868 96550 99850 106205 109835 193100 199700 212410 219670 424820 439340 531025 549175 1062050 1098350 2124100 2196700 3856207 7712414 15424828 19281035 38562070 42418277 77124140 84836554 96405175 169673108 192810350 212091385 385620700 424182770 848365540 1060456925 2120913850 4241827700